{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "66a75637-f7c0-4c91-b5ac-d2b59435229a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "\n",
    "def getSin(amp,freq,phase,sampleList):\n",
    "    return amp*np.sin(2*math.pi*freq*sampleList+phase)\n",
    "def getCos(amp,freq,phase,sampleList):\n",
    "    return amp*np.cos(2*math.pi*freq*sampleList+phase)\n",
    "\n",
    "#  获得混合波形\n",
    "srate=3000\n",
    "t=np.linspace(0,1,srate)\n",
    "s1=getSin(amp=1.5, freq= 30, phase=0,sampleList=t)    \n",
    "s2=getCos(amp=  3, freq=  5, phase=0,sampleList=t)  \n",
    "s3=getSin(amp= 10, freq=100, phase=0,sampleList=t) \n",
    "s4=getCos(amp= 20, freq=120, phase=0,sampleList=t) \n",
    "m=s1+s2+s3+s4\n",
    "m1=np.copy(m)\n",
    "\n",
    "def discard(arr, thresh):\n",
    "    # 实现返回一个新的numpy数组arr,使得arr中所有thresh位置极其之后的值都归零\n",
    "    arr[thresh:]=0\n",
    "    return arr\n",
    "\n",
    "def discard1(arr, thresh):\n",
    "    # 实现返回一个新的numpy数组arr,使得arr中所有thresh位置极其之前的值都归零\n",
    "    arr[:thresh] = 0\n",
    "    return arr\n",
    "\n",
    "#  获得傅里叶系数\n",
    "fCoefs = np.fft.fft(m,srate)\n",
    "\n",
    "#  获得振幅列表：每一个绕线的重心到原点的距离\n",
    "amp_list = 2*np.abs(fCoefs/srate)\n",
    "\n",
    "#  基于振幅去噪\n",
    "mask=amp_list>1\n",
    "amp_list1=amp_list*mask\n",
    "\n",
    "#  基于频率去噪\n",
    "freqs = discard(m,110)\n",
    "freqs = discard1(m,-110)\n",
    "\n",
    "# 把频率轴从0~1000 转变成 0~150 然后 -150~-1\n",
    "freqs = np.fft.fftfreq(len(amp_list), 1/srate)\n",
    "\n",
    "# 然后把 频率轴 和 数据 都变成 0hz 在中间，向左是负频率，向右是正频率的形式\n",
    "amp_shifted=np.fft.fftshift(amp_list)\n",
    "amp_shifted1=np.fft.fftshift(amp_list1)\n",
    "freq_shift=np.fft.fftshift(freqs)\n",
    "\n",
    "# 把振幅列表画出来\n",
    "freq_ishift=np.fft.ifftshift(freq_shift)\n",
    "s_denoise = np.fft.ifft(amp_list1)\n",
    "\n",
    "fig,ax=plt.subplots(2,2,figsize=(11,5))\n",
    "\n",
    "ax[0,0].grid()\n",
    "ax[0,0].plot(freq_ishift[0:500],m1[0:500])\n",
    "ax[0,0].set_xlim([0,500])\n",
    "\n",
    "ax[0,1].grid()\n",
    "ax[0,1].plot(freq_ishift[0:500],np.real(s_denoise)[0:500])\n",
    "ax[0,1].set_xlim(0,500)\n",
    "\n",
    "ax[1,0].grid()\n",
    "ax[1,0].stem(freq_shift,amp_shifted)\n",
    "ax[1,0].set_xlim([-150,150])\n",
    "\n",
    "ax[1,1].grid()\n",
    "ax[1,1].stem(freq_shift,amp_shifted1) #注意：由于频率有负值，所以振幅被平分了，需要乘以2才能还原原始振幅\n",
    "ax[1,1].set_xlim([-150,150])\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4b22b2f5-7131-4442-b5b4-ac95cb3e1722",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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